Final answer to the problem
$\frac{\sin\left(x\right)^4}{\cos\left(x\right)^{7}}$
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Step-by-step Solution
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- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
- Verify if true (using arithmetic)
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
$\tan\left(x\right)^4\frac{1}{\cos\left(x\right)^3}$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\tan\left(x\right)^4\frac{1}{\cos\left(x\right)^3}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression tan(x)^4sec(x)^3. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \tan\left(x\right)^4. Any expression multiplied by 1 is equal to itself. Rewrite \frac{\tan\left(x\right)^4}{\cos\left(x\right)^3} in terms of sine and cosine.
Final answer to the problem
$\frac{\sin\left(x\right)^4}{\cos\left(x\right)^{7}}$
